SOLUTION: I am having trouble with this problem: Suppose f = (t-s)/(s/(n-2)) and p = (t-s)/(t). Express f as a function of p and n Thank you so much for your help!

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Question 1180604: I am having trouble with this problem:
Suppose f = (t-s)/(s/(n-2)) and p = (t-s)/(t). Express f as a function of p and n
Thank you so much for your help!
Found 2 solutions by MathLover1, ikleyn:
Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!

f=%28t-s%29%2F%28s%2F%28n-2%29%29 and p=%28t-s%29%2Fs
Express f as a function of p and n.
first p=%28t-s%29%2Fs solve for s
ps=t-s
ps%2Bs=t
%28p%2B1%29s=t
s=t%2F%28p%2B1%29

now substitute in

f=%28t-s%29%2F%28s%2F%28n-2%29%29

f=%28t-t%2F%28p%2B1%29%29%2F%28%28t%2F%28p%2B1%29%29%2F%28n-2%29%29

f=%28%28pt%29%2F%28p+%2B+1%29%29%2F%28%28t%2F%28p%2B1%29%29%2F%28n-2%29%29........simplify


f=%28%28pt%29%2F%28p+%2B+1%29%29%2F%28%28t%28n-2%29%29%2F%28p%2B1%29%29........simplify




f=%28p%2F1%29%2F%28%28n-2%29%2F1%29

f=p%2F%28n-2%29


Answer by ikleyn(52781) About Me  (Show Source):
You can put this solution on YOUR website!
.

Regarding this problem,  there is a dispute between two tutors,  @MathLover1  and  Edwin.

I will refer to the post

https://www.algebra.com/algebra/homework/Expressions-with-variables/Expressions-with-variables.faq.question.1180564.html

of yesterday,  where both tutors placed their solutions. 


    The current solution by @MathLover1 is the copy of her solution, 
    placed under the cited link.


I do not see any reason to repeat the mathematics of both participants.

I attentively looked at both solutions,  and I see that the solution and the answer by  Edwin  is  RIGHT,
while the answer and the solution by  @MathLover1 are incorrect  (have an error).


The error in the solution by  @MathLover1  is in the row number  12.


        It is not amazing to make an error by writing five-storey fractions.


        This style  ( writing multy-storey fractions with the number of stores more than  4 )  leads to errors   INEVITABLY.


////////////


Resume:   use the solution and the answer by  Edwin

and ignore the answer and the solution by  @MathLover1.